作业帮化简x-y分之x + x³-2x²y+xy²分之y³ ÷ y²-x²分之xy+y²
来源：学生作业帮助网 编辑：作业帮 时间：2024/11/26 22:35:00
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化简x-y分之x + x³-2x²y+xy²分之y³ ÷ y²-x²分之xy+y²
化简x-y分之x + x³-2x²y+xy²分之y³ ÷ y²-x²分之xy+y²
化简x-y分之x + x³-2x²y+xy²分之y³ ÷ y²-x²分之xy+y²
原式=x/(x-y)+y³/x(x-y)²÷[-y(x+y)/(x+y)(x-y)]
=x/(x-y)-y³/x(x-y)²×(x-y)/y
=x/(x-y)-y²/x(x-y)
=(x²-y²)/x(x-y)
=(x+y)(x-y)/x(x-y)
=(x+y)/x